Chapter 4 · Class 9 CBSE · Free Worksheet PDF

Linear Equations in Two Variables Sums for Class 9 — Free CBSE Worksheet PDF with Answers

Download a free printable linear equations in two variables worksheet for Class 9 CBSE with 30 practice questions covering linear equations in two variables concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Linear Equations in Two Variables Sums for Class 9 — Practice Questions

Here are 8 sample linear equations in two variables sums from this Class 9 CBSE worksheet. Download the full PDF for all 30 questions with answers.

Q1.Which of the following is a linear equation in two variables?
A.2x + 3y = 5
B.x² + y = 7
C.xy = 4
D.3x = 9

Difficulty: Easy

Q2.Express the equation 3x = 5y - 8 in the standard form ax + by + c = 0 and identify the value of 'c'.
A.c = 8
B.c = -8
C.c = 3
D.c = -5

Difficulty: Easy

Q3.Which of the following points is a solution to the equation 2x + y = 7?
A.(1, 4)
B.(3, 2)
C.(2, 3)
D.(0, 7)

Difficulty: Easy

Q4.Which of the following points is a solution to the equation 2x + y = 7?
A.(1, 4)
B.(3, 2)
C.(2, 3)
D.(4, -1)

Difficulty: Easy

Q5.Which of the following points is a solution to the equation 2x + y = 7?
A.(1, 4)
B.(3, 2)
C.(2, 3)
D.(4, 0)

Difficulty: Easy

Q6.If (k, 2k) is a solution to the equation 3x - y = 8, what is the value of k?
A.8
B.4
C.2
D.8/5

Difficulty: Easy

Q7.How many solutions does a linear equation in two variables like 5x - 2y = 10 have?
A.Exactly one solution
B.Exactly two solutions
C.Infinitely many solutions
D.No solution

Difficulty: Easy

Q8.The cost of a storybook is ₹5 more than twice the cost of a pen. If the cost of the storybook is ₹x and the cost of the pen is ₹y, which linear equation represents this statement?
A.x = 2y - 5
B.x = 2y + 5
C.y = 2x + 5
D.y = 2x - 5

Difficulty: Easy

Answer Key — Sample Questions+
Q1:2x + 3y = 5
Q2:c = 8
Q3:(2, 3)
Q4:(2, 3)
Q5:(2, 3)
Q6:8
Q7:Infinitely many solutions
Q8:x = 2y + 5

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicLinear Equations in Two Variables
BoardCBSE
Class9
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 9 CBSE

Frequently Asked Questions

Where can I download free linear equations in two variables sums for Class 9?+
You can download a free Linear Equations in Two Variables PDF worksheet for Class 9 CBSE right here on SparkEd. The worksheet includes 30 practice questions (linear equations in two variables concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many linear equations in two variables questions are in this Class 9 worksheet?+
This SparkEd worksheet for Linear Equations in Two Variables Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover linear equations in two variables concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Linear Equations in Two Variables worksheet for Class 9 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this linear equations in two variables worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 9 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Linear Equations in Two Variables worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include linear equations in two variables word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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